2(4x-5)+x+7+4x+1=180

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Solution for 2(4x-5)+x+7+4x+1=180 equation:


Simplifying
2(4x + -5) + x + 7 + 4x + 1 = 180

Reorder the terms:
2(-5 + 4x) + x + 7 + 4x + 1 = 180
(-5 * 2 + 4x * 2) + x + 7 + 4x + 1 = 180
(-10 + 8x) + x + 7 + 4x + 1 = 180

Reorder the terms:
-10 + 7 + 1 + 8x + x + 4x = 180

Combine like terms: -10 + 7 = -3
-3 + 1 + 8x + x + 4x = 180

Combine like terms: -3 + 1 = -2
-2 + 8x + x + 4x = 180

Combine like terms: 8x + x = 9x
-2 + 9x + 4x = 180

Combine like terms: 9x + 4x = 13x
-2 + 13x = 180

Solving
-2 + 13x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 13x = 180 + 2

Combine like terms: -2 + 2 = 0
0 + 13x = 180 + 2
13x = 180 + 2

Combine like terms: 180 + 2 = 182
13x = 182

Divide each side by '13'.
x = 14

Simplifying
x = 14

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